期刊
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING
卷 76, 期 3-4, 页码 77-84出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.petrol.2010.11.024
关键词
fractal gas reservoir; deformable dual media; unsteady state seepage flow; finite element method
In this paper, an unsteady state flow mathematical model for a deformable dual media fractal gas reservoir in a second kind of boundary conditions is developed, with the consideration of dynamic changes in porosity and permeability as a result of pressure depletion in the system. Existence and convergence from this mathematical model are proven for a finite element discrete numerical solution in the framework of a fractal geometry theory. Then, a concise numerical solution, in the one variable linear interpolation function space, is achieved by adopting the Galerkin finite element method. (C) 2010 Elsevier B.V. All rights reserved.
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